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A graph of the function _____ has no x intercepts.

  1. y = x^2

  2. y = 3

  3. y = 1/x

  4. y = x

The correct answer is: y = 3

A graph of y = 3 is a horizontal line with a y-intercept of 3. Since there is no x term in the equation, there is no way for the graph to cross the x-axis and therefore, it has no x-intercepts. Option A, y = x^2, is a parabola with two x-intercepts. Option C, y = 1/x, is a hyperbola with two x-intercepts (excluding the point at which the asymptotes intersect). Option D, y = x, is a line with a slope of 1 and a y-intercept of 0, so it intersects the x-axis at the point (0,0).